330-0316/04 – Finite Element Methods 1 (MKP1)

Gurantor departmentDepartment of Applied MechanicsCredits5
Subject guarantordoc. Ing. Martin Fusek, Ph.D.Subject version guarantordoc. Ing. Zdeněk Poruba, Ph.D.
Study levelundergraduate or graduate
Study languageEnglish
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFSIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
FUS76 doc. Ing. Martin Fusek, Ph.D.
GOV0002 Ing. Bhuvanesh Govindaraj
HAL22 prof. Ing. Radim Halama, Ph.D.
MAW007 doc. Ing. Pavel Maršálek, Ph.D.
POR05 doc. Ing. Zdeněk Poruba, Ph.D.
ROJ71 Ing. Jaroslav Rojíček, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

Students gain the theoretical foundations of the finite element method (FEM) and the procedures for solving problems of elasticity using the numerical method. Basic training of FEM application on the selected tasks from engineering practice.

Teaching methods

Lectures
Tutorials
Project work

Summary

The subject forms the basis for the use of finite element method in engineering practice. Contents are general formulation of continuum mechanics, fundamentals linearization, introduction to variational methods, finally FEM applications to specific types of problems of linear elasticity.

Compulsory literature:

[1] MADENCI, E., GUVEN, I. The Finite Element Method and Applications in Engineering Using Ansys®. Springer, 2006, 686p. ISBN 978-0-387-28290-9 [2] ZIENKIEWICZ, O. C., TAYLOR,R.L. a ZHU, J.Z. The finite element method: its basis and fundamentals. 6th ed. Oxford: Elsevier Butterworth-Heinemann, 2005. ISBN 0-7506-6320-0.

Recommended literature:

[1] BEER,G.-WATSON,J.O. Introduction to Finite and Boundary Element Methods for Engineers. John Wiley & Sons, 1992, 509p.ISBN 0 471 92813 5

Way of continuous check of knowledge in the course of semester

Test, example solutions

E-learning

no

Other requirements

Attendance on seminars.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Subject includes an explication of FEM foundations for linear structural problems and also has practical focus: 1. Lecture – Elementary thought of FEM. Selection of interpolator functions. Types of elements. Derivation of stiffness matrix of a truss element. Equations of an elasticity mathematical theory. Minimal principle of potential energy. Process at FEM calculation. Conditions of convergence. 2. Lecture – assembly of global stiffness matrix and right side. Foundations of Ansys Workbench (description of individual models, work with help). Example 1: application example – beam in 3D. 3. Lecture – Computational modelling. Simplified exercises from 3D to 1D and 2D. Example 2: wrenche. 4. Lecture – Choice of boundary conditions. Singularity. Reading geometry from CAD model and its modification. Example 3: symmetry usage. 5. Lecture- Error of FEM calculation (aposteriori estimate). Adaptive FEM algorithm (h-method). Example 4: Think walled pressure tin. 6. Lecture - Seminary work. 7. Lecture – Seminary work. 8. Lecture – Seminary work. 9. Lecture – Final test, finalization and handing over a seminary work.

Conditions for subject completion

Full-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)		Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 35  20
        Examination Examination 65  16 3
Mandatory attendence participation: Credit conditions: - Physical presence for at least 80% of the exercises. - Development and defense of 2 projects. Exam: - On the basis of a successfully completed credit, the student can take the exam. The exam is combined (written and oral part).

Show history

Conditions for subject completion and attendance at the exercises within ISP: Credit conditions: - Development and defense of 2 projects. Exam: - On the basis of a successfully completed credit, the student can take the exam. The exam is combined (written and oral part).

Show history

Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (B0715A270012) Engineering (S01) Applied Mechanics PRU P English Ostrava 3 Compulsory study plan
2023/2024 (B0715A270012) Engineering (S01) Applied Mechanics PRU P English Ostrava 3 Compulsory study plan
2022/2023 (B0715A270012) Engineering (S01) Applied Mechanics PRU P English Ostrava 3 Compulsory study plan
2021/2022 (B0715A270012) Engineering (S01) Applied Mechanics PRU P English Ostrava 3 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
ECTS - MechEng - Bachelor Studies 2024/2025 Full-time English Choice-compulsory 301 - Study and International Office stu. block
ECTS - MechEng - Bachelor Studies 2023/2024 Full-time English Choice-compulsory 301 - Study and International Office stu. block
ECTS - MechEng - Bachelor Studies 2022/2023 Full-time English Choice-compulsory 301 - Study and International Office stu. block
ECTS - MechEng - Bachelor Studies 2021/2022 Full-time English Choice-compulsory 301 - Study and International Office stu. block
ECTS - MechEng - Bachelor Studies 2020/2021 Full-time English Choice-compulsory 301 - Study and International Office stu. block

Assessment of instruction



2023/2024 Winter